Finding the Third Proportional to 9,780 and 14,666

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780 : 14,666 = 14,666 : x
2. Step 2: Convert to fraction form
   9,780/14,666 = 14,666/x
3. Step 3: Cross multiply
   9,780x = 14,666 × 14,666
4. Step 4: Simplify right side
   9,780x = 215,091,556
5. Step 5: Solve for x
   x = 215,091,556/9,780
6. Step 6: Final answer
   x = 21,993.00